The Guantanamo guests appear to have constitutional rights from what I read from googling "US constitutional rights and Guantanamo prisoners."

I can't remember details but didn't the Supreme Court rule the US government couldn't deprive them of habeas corpus even if they were offshore?

PS--- just found in Wikipedia:

"On June 12, 2008 the United States Supreme Court ruled, in Boumediene v. Bush, that the Guantanamo detainees were entitled to the protection of the United States Constitution.[ Justice Anthony Kennedy, writing for the majority, described the CSR Tribunals as "inadequate", and wrote:

"The laws and Constitution are designed to survive, and remain in force, in extraordinary times."

Justice Kennedy was a Reagan nominee.